5y+10=3y-6x

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Solution for 5y+10=3y-6x equation:


Simplifying
5y + 10 = 3y + -6x

Reorder the terms:
10 + 5y = 3y + -6x

Reorder the terms:
10 + 5y = -6x + 3y

Solving
10 + 5y = -6x + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
10 + 5y + -3y = -6x + 3y + -3y

Combine like terms: 5y + -3y = 2y
10 + 2y = -6x + 3y + -3y

Combine like terms: 3y + -3y = 0
10 + 2y = -6x + 0
10 + 2y = -6x

Add '-10' to each side of the equation.
10 + -10 + 2y = -10 + -6x

Combine like terms: 10 + -10 = 0
0 + 2y = -10 + -6x
2y = -10 + -6x

Divide each side by '2'.
y = -5 + -3x

Simplifying
y = -5 + -3x

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